Drag and wakes of freely falling 60° cones at intermediate Reynolds numbers

Physics of Fluids

Volumn 20, Issue 11, 2008, Pages

  Yaginuma, Takayuki ^a   Ito, Hidesato ^a,b  

^a NIHON UNIVERSITY   (Japan)

^b NONE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; REYNOLDS NUMBER; WAKES;

EMPIRICAL EQUATIONS; HAIRPIN VORTICES; INTERMEDIATE REYNOLDS NUMBER; OSCILLATORY MOTION; STAGGERED ARRAYS; TERMINAL VELOCITY; VISUALIZATION EXPERIMENT; WAKE STRUCTURES;

VORTEX FLOW;

EID: 57149085688     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2980348     Document Type: Article

References (44)

1. J. F. Douglas, J. M. Gasiorek, and J. A. Swaffield, Fluid Mechanics (Pitman, London, 1979), p. 711.
2. M. J. Gluckman, S. Weinbaum, and R. Pfeffer, "Axisymmetric slow viscous flow past an arbitrary convex body of revolution," J. Fluid Mech. JFLSA70022-112010.1017/S0022112072002083 55, 677 (1972).
3. A. Goldburg and B. H. Florsheim, "Transition and Strouhal number for the incompressible wake of various bodies," Phys. Fluids PFLDAS0031-917110.1063/1.1761531 9, 45 (1966).
4. J. R. Calvert, "Experiments on the low-speed flow past cones," J. Fluid Mech. JFLSA70022-112010.1017/S002211206700031X 27, 273 (1967).
5. J. W. Kim and P. J. Morris, "Computation of subsonic inviscid flow past a cone using high-order schemes," AIAA J. AIAJAH0001-145210.2514/2.1557 40, 1961 (2002).
6. M. Jenny, G. Bouchet, and J. Dušek, "Nonvertical ascension or fall of a free sphere in a Newtonian fluid," Phys. Fluids PHFLE61070-663110.1063/1.1529179 15, L9 (2003).
7. M. Jenny, J. Dušek, and G. Bouchet, "Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004009164 508, 201 (2004).
8. ISO, Guide to the Expression of Uncertainty in Measurement (International Organization for Standardization, Geneva, Switzerland, 1995), p. 9.
9. V. Fidleris and R. L. Whitmore, "Experimental determination of the wall effect for spheres falling axially in cylindrical vessels," Br. J. Appl. Phys. BJAPAJ0508-344310.1088/0508-3443/12/9/311 12, 490 (1961).
10. E. C. Maskell, "A theory of the blockage effects on bluff bodies and stalled wings in a closed wind tunnel," Aeronautical Research Council, Reports and Memoranda, No. 3400, 1965.
11. H. B. Awbi and S. H. Tan, "Effect of wind-tunnel walls on the drag of a sphere," J. Fluids Eng, Trans. Am. Soc. Mech. Eng. 103, 461 (1981).
12. P. H. T. Uhlherr and R. P. Chhabra, "Wall effect for the fall of spheres in cylindrical tubes at high Reynolds number," Can. J. Chem. Eng. CJCEA70008-4034 73, 918 (1995).
13. V. J. Modi and T. Akutsu, "Wall confinement effects for spheres in the Reynolds number range of 30-2000," J. Fluids Eng, Trans. Am. Soc. Mech. Eng. 106, 66 (1984).
14. W. W. Willmarth, N. E. Hawk, and R. L. Harvey, "Steady and unsteady motions and wakes of freely falling disks," Phys. Fluids PFLDAS0031-917110.1063/1.1711133 7, 197 (1964).
15. R. G. Lunnon, "Fluid resistance to moving spheres," Proc. R. Soc. London PRLAAZ0950-120710.1098/rspa.1928.0077 118, 680 (1928).
16. K. Watanabe, H. Ohira, T. Oki, and H. Kato, "Acceleration ranges for freely falling spheres in suspensions (in Japanese)," Trans. Jpn. Soc. Mech. Eng. 58, 2041 (1992).
17. D. Ormières and M. Provansal, "Transition to turbulence in the wake of a sphere," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.83.80 83, 80 (1999).
18. L. Schouveiler and M. Provansal, "Self-sustained oscillations in the wake of a sphere," Phys. Fluids PHFLE61070-663110.1063/ 1.1508770 14, 3846 (2002).
19. D. G. Karamanev and L. N. Nikolov, "Free rising spheres do not obey Newton's law for free settling," AIChE J. AICEAC0001-154110.1002/ aic.690381116 38, 1843 (1992).
20. D. G. Karamanev, C. Chavarie, and R. C. Mayer, "Dynamics of the free rise of a light solid sphere in liquid," AIChE J. AICEAC0001-154110.1002/aic.690420630 42, 1789 (1996).
21. C. Veldhuis, A. Biesheuvel, L. van Wijngaarden, and D. Lohse, "Motion and wake structure of spherical particles," Nonlinearity NONLE50951-771510.1088/0951-7715/18/1/000 18, C1 (2005).
22. R. H. Perry and C. H. Chilton, Chemical Engineers' Handbook, 5th ed. (McGraw-Hill, London, 1974), Sec. 5, p. 64.
23. C. Wieselsberger, "Weitere Feststellungen über die Gesetze des Flüssigkeits- und Luftwiderstandes," Phys. Z. PHZTAO0369-982X 23, 219 (1922).
24. F. W. Roos and W. W. Willmarth, "Some experimental results on sphere and disk drag," AIAA J. AIAJAH0001-145210.2514/3.6164 9, 285 (1971).
25. J. Schmiedel, "Experimentelle Untersuchungen über die Fallbewegung von Kugeln und Scheiben in reibenden Flüssigkeiten," Phys. Z. PHZTAO0369-982X 29, 593 (1928).
26. P. C. Fernandes, F. Risso, P. Ern, and J. Magnaudet, "Oscillatory motion and wake instability of freely rising axisymmetric bodies," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006003685 573, 479 (2007).
27. L. Schiller, "Fallversuche mit Kugeln und Scheiben," in Handbuch der Experimentalphysik, edited by W. Wien and F. Harms (Akademische Verlagsgesellschaft, Leipzig, 1932), Vol. 4, No. 2, p. 347.
28. H. R. Pruppacher, B. P. Le Clair, and A. E. Hamielec, "Some relations between drag and flow pattern of viscous flow past a sphere and a cylinder at low and intermediate Reynolds numbers," J. Fluid Mech. JFLSA70022-112010.1017/S0022112070002148 44, 781 (1970).
29. R. L. Pitter, H. R. Pruppacher, and A. E. Hamielec, "A numerical study of viscous flow past a thin oblate spheroid at low and intermediate Reynolds numbers," J. Atmos. Sci. JAHSAK0022-492810.1175/1520-0469(1973)030<0125:ANSOVF>2.0.CO;2 30, 125 (1973).
30. H. Sakamoto and H. Haniu, "A study on vortex shedding from spheres in a uniform flow," J. Fluids Eng, Trans. Am. Soc. Mech. Eng. 112, 386 (1990).
31. I. Nakamura, "Steady wake behind a sphere," Phys. Fluids PFLDAS0031-917110.1063/1.861328 19, 5 (1976).
32. R. H. Magarvey and R. L. Bishop, "Transition ranges for three-dimensional wakes," Can. J. Phys. CJPHAD0008-4204 39, 1418 (1961).
33. R. H. Magarvey and R. L. Bishop, "Wakes in liquid-liquid systems," Phys. Fluids PFLDAS0031-917110.1063/1.1706409 4, 800 (1961).
34. E. Achenbach, "Vortex shedding from spheres," J. Fluid Mech. JFLSA70022-112010.1017/S0022112074000644 62, 209 (1974).
35. T. A. Johnson and V. C. Patel, "Flow past a sphere up to a Reynolds number of 300," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112098003206 378, 19 (1999).
36. T. Leweke, M. Provansal, D. Ormières, and R. Lebescond, "Vortex dynamics in the wake of a sphere," Phys. Fluids PHFLE61070-6631 11, S12 (1999).
37. R. Mittal, "Planar symmetry in the unsteady wake of a sphere," AIAA J. AIAJAH0001-145210.2514/2.722 37, 388 (1999).
38. R. Mittal, "A Fourier-Chebyshev spectral collocation method for simulating flow past spheres and spheroids," Int. J. Numer. Methods Fluids IJNFDW0271-209110.1002/ (SICI)1097-0363(19990815)30:7<921::AID-FLD875>3.0.CO;2-3 30, 921 (1999).
39. R. Mittal, J. J. Wilson, and F. M. Najjar, "Symmetry properties of the transitional sphere wake," AIAA J. AIAJAH0001-145210.2514/ 2.1686 40, 579 (2002).
40. 4," Phys. Fluids PHFLE61070-6631 15, S6 (2003).
41. G. Yun, D. Kim, and H. Choi, "Vortical structures behind a sphere at subcritical Reynolds numbers," Phys. Fluids PHFLE61070-6631 18, 015102 (2006).
42. E. Berger, D. Scholz, and M. Schumm, "Coherent vortex structures in the wake of a sphere and a circular disk at rest and under forced vibrations," J. Fluids Struct. ZZZZZZ0889-9746 4, 231 (1990).
43. G. Constantinescu and K. Squires, "Numerical investigations of flow over a sphere in the subcritical and supercritical regimes," Phys. Fluids PHFLE61070-663110.1063/1.1688325 16, 1449 (2004).
44. H. J. Kim and P. A. Durbin, "Observations of the frequencies in a sphere wake and of drag increase by acoustic excitation," Phys. Fluids PFLDAS0031-917110.1063/1.866937 31, 3260 (1988).